lim X → -00 .2 x - x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

-infinity, 1, 0 are not the right answers 

**Problem Statement:**

Find the limit, if it exists.

\[
\lim_{{x \to -\infty}} \frac{x}{\sqrt{x^2 - x}}
\]

**Visual Element:**

There is a box intended for the answer with a red "X" indicating an incorrect or missing response. 

**Explanation:**

This mathematical expression involves finding the limit of the given rational function as \( x \) approaches negative infinity. The function is a fraction where the numerator is \( x \) and the denominator is the square root of the expression \( x^2 - x \). The task involves analyzing the behavior of this function for very large negative values of \( x \).
Transcribed Image Text:**Problem Statement:** Find the limit, if it exists. \[ \lim_{{x \to -\infty}} \frac{x}{\sqrt{x^2 - x}} \] **Visual Element:** There is a box intended for the answer with a red "X" indicating an incorrect or missing response. **Explanation:** This mathematical expression involves finding the limit of the given rational function as \( x \) approaches negative infinity. The function is a fraction where the numerator is \( x \) and the denominator is the square root of the expression \( x^2 - x \). The task involves analyzing the behavior of this function for very large negative values of \( x \).
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